{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 手写DPO\n",
    "公式推导https://mp.weixin.qq.com/s/S72LO26IsZ8AED8sQKIWnQ\n",
    "\n",
    "dpo主要复用ppo里的函数，\n",
    "\n",
    "dpo的数据格式可以参考llama-factoryhttps://llamafactory.readthedocs.io/zh-cn/latest/getting_started/data_preparation.html#id10\n",
    "\n",
    "有chosen以及reject，分别对应正样本和负样本\n",
    "\n",
    "简要总结：\n",
    "\n",
    "有chosen数据以及reject数据，分别对应正样本和负样本\n",
    "\n",
    "有ref模型以及actor模型，\n",
    "\n",
    "ref模型以及actor模型都使用相同的结构，但是参数不同\n",
    "\n",
    "x1 = actor模型对chosen数据得到log（softmax（logits（chosen数据））） 减去 ref模型对chosen数据得到log（softmax（logits（chosen数据）））\n",
    "\n",
    "x2 = actor模型对reject数据得到log（softmax（logits（reject数据））） 减去 ref模型对reject数据得到log（softmax（logits（reject数据）））\n",
    "\n",
    "loss = -F.logsigmoid(beta * （x1 - x2） ) * label\n",
    "\n",
    "beta是超参数\n",
    "\n",
    "label代表我们要关注response部分的loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "现在初始ref模型以及actor模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/envs/llm/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "GPT2LMHeadModel(\n",
       "  (transformer): GPT2Model(\n",
       "    (wte): Embedding(50257, 128)\n",
       "    (wpe): Embedding(1024, 128)\n",
       "    (drop): Dropout(p=0.1, inplace=False)\n",
       "    (h): ModuleList(\n",
       "      (0-1): 2 x GPT2Block(\n",
       "        (ln_1): LayerNorm((128,), eps=1e-05, elementwise_affine=True)\n",
       "        (attn): GPT2SdpaAttention(\n",
       "          (c_attn): Conv1D(nf=384, nx=128)\n",
       "          (c_proj): Conv1D(nf=128, nx=128)\n",
       "          (attn_dropout): Dropout(p=0.1, inplace=False)\n",
       "          (resid_dropout): Dropout(p=0.1, inplace=False)\n",
       "        )\n",
       "        (ln_2): LayerNorm((128,), eps=1e-05, elementwise_affine=True)\n",
       "        (mlp): GPT2MLP(\n",
       "          (c_fc): Conv1D(nf=256, nx=128)\n",
       "          (c_proj): Conv1D(nf=128, nx=256)\n",
       "          (act): NewGELUActivation()\n",
       "          (dropout): Dropout(p=0.1, inplace=False)\n",
       "        )\n",
       "      )\n",
       "    )\n",
       "    (ln_f): LayerNorm((128,), eps=1e-05, elementwise_affine=True)\n",
       "  )\n",
       "  (lm_head): Linear(in_features=128, out_features=50257, bias=False)\n",
       ")"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "from transformers import GPT2Config, GPT2LMHeadModel\n",
    "\n",
    "torch.manual_seed(1)\n",
    "\n",
    "# 定义参数\n",
    "vocab_size = 10\n",
    "hidden_size = 128\n",
    "intermediate_size = 256\n",
    "num_hidden_layers = 2\n",
    "num_attention_heads = 4\n",
    "\n",
    "# 加载模型配置\n",
    "config = GPT2Config(\n",
    "    vocab_size=50257,\n",
    "    n_embd=hidden_size,\n",
    "    n_inner=intermediate_size,\n",
    "    n_layer=num_hidden_layers,\n",
    "    n_head=num_attention_heads\n",
    ")\n",
    "\n",
    "# 初始化 GPT - 2 模型\n",
    "model = GPT2LMHeadModel(config)\n",
    "ref_model = GPT2LMHeadModel(config)\n",
    "ref_model.eval()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 提取logprobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch.nn.functional as F\n",
    "import torch\n",
    "\n",
    "def get_logits(model, inputs):\n",
    "    # 得到logits\n",
    "    outputs = model(input_ids=inputs['input_ids'], attention_mask=inputs['attention_mask'])\n",
    "    logits = outputs.logits\n",
    "    return logits\n",
    "\n",
    "\n",
    "def get_logprobs(model, response_inputs, index_label):\n",
    "    # 得到logprobs\n",
    "    logits = get_logits(model, response_inputs)\n",
    "    # F.log_softmax() 是先进行softmax运算然后再取对数（log）\n",
    "    all_token_logprobs = F.log_softmax(logits, dim=-1)\n",
    "    # 使用torch.gather() 从logprobs中收集response的值\n",
    "    gathered = torch.gather(all_token_logprobs, 2, index_label.unsqueeze(2))\n",
    "    # 去掉最后一个维度\n",
    "    response_logprobs = gathered.squeeze(-1)\n",
    "    return response_logprobs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "初始化chosen以及reject"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch_size = 2\n",
    "length_x = 5\n",
    "max_new_tokens = 5\n",
    "prompt = torch.randint(0, vocab_size, (batch_size, length_x))\n",
    "chosen_response = torch.randint(0, vocab_size, (batch_size, length_x + max_new_tokens))\n",
    "reject_response = torch.randint(0, vocab_size, (batch_size, length_x + max_new_tokens))\n",
    "attention_mask = torch.ones(batch_size, length_x+max_new_tokens)\n",
    "label =  torch.tensor([[0, 0, 0, 0,  0, 1,   1,  1,  1,  1]], dtype=torch.bool)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[1, 5, 2, 7, 0],\n",
       "        [1, 1, 6, 8, 0]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prompt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[6, 4, 7, 5, 9, 5, 1, 1, 6, 7],\n",
       "        [9, 3, 1, 1, 3, 2, 0, 9, 9, 8]])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "chosen_response"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[3, 8, 6, 0, 1, 4, 3, 2, 5, 5],\n",
       "        [1, 5, 4, 1, 0, 7, 9, 6, 6, 1]])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reject_response"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[1., 1., 1., 1., 1., 1., 1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1., 1., 1., 1., 1., 1., 1.]])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "attention_mask"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[False, False, False, False, False,  True,  True,  True,  True,  True]])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_chosen = {'input_ids':chosen_response, 'attention_mask':attention_mask}\n",
    "x_rejected = {'input_ids':reject_response, 'attention_mask':attention_mask}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 计算ref模型和actor模型的logprobs\n",
    "\n",
    "chosen_response\n",
    "reject_response"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "probs_chosen_ref = get_logprobs(ref_model, x_chosen, chosen_response)\n",
    "probs_chosen = get_logprobs(model, x_chosen, chosen_response)\n",
    "probs_rejected_ref = get_logprobs(ref_model, x_rejected, reject_response)\n",
    "probs_rejected = get_logprobs(model, x_rejected, reject_response)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[-10.3156,  -9.7152,  -9.6553,  -9.8382,  -9.4010,  -9.5552,  -9.7922,\n",
       "          -9.7477, -10.0987,  -9.2992],\n",
       "        [ -9.9923,  -9.9284,  -9.9684,  -9.6602,  -9.6725,  -9.8346,  -9.6949,\n",
       "          -9.6185,  -9.5147,  -9.8506]], grad_fn=<SqueezeBackward1>)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "probs_chosen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[-10.1076,  -9.9149, -10.0080,  -9.7183,  -9.7094,  -9.5152,  -9.3403,\n",
       "          -9.7231,  -9.4863,  -9.9287],\n",
       "        [ -9.8689,  -9.9623,  -9.5794,  -9.6197,  -9.8776,  -9.1791,  -9.5480,\n",
       "          -9.7149,  -9.6561,  -9.8823]], grad_fn=<SqueezeBackward1>)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "probs_chosen_ref"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算loss"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![for_output/image/Snipaste_2025-03-31_20-41-35.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([0.1733, 0.1732], grad_fn=<DivBackward0>)\n"
     ]
    },
    {
     "ename": "",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m在当前单元格或上一个单元格中执行代码时 Kernel 崩溃。\n",
      "\u001b[1;31m请查看单元格中的代码，以确定故障的可能原因。\n",
      "\u001b[1;31m单击<a href='https://aka.ms/vscodeJupyterKernelCrash'>此处</a>了解详细信息。\n",
      "\u001b[1;31m有关更多详细信息，请查看 Jupyter <a href='command:jupyter.viewOutput'>log</a>。"
     ]
    }
   ],
   "source": [
    "import torch.nn.functional as F\n",
    "\n",
    "beta = 0.01\n",
    "\n",
    "x = (probs_chosen - probs_rejected) - (probs_chosen_ref - probs_rejected_ref)\n",
    "loss = -F.logsigmoid(beta * x ) * label\n",
    "loss = loss.sum(-1)/attention_mask.sum()\n",
    "print(loss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "llm",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
